Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.
- 4Inverse and Composite Functions3 marks
f(x) = 7x - 4. Work out the inverse function f^-1(x).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.
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